GCF of 5038/684, 5164/5710
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 5038/684, 5164/5710 i.e 2/1952820 easily. The following is the detailed procedure to determine the greatest common factor of fractions 5038/684, 5164/5710.
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
What is the GCF of 5038/684,5164/5710?
Given fractions are 5038/684,5164/5710
To find the GCF of fractions, we have to find the GCF of numerator numbers and LCM of denominator numbers. Its formula is given by
GCF of Fraction = Greatest Common Factor of Numerator/Least Common Multiple of Denominators
In the fractions 5038/684,5164/5710, numerators are 5038,5164
Denominators are 684,5710
The GCF of 5038,5164 is 2 .
LCM of 684,5710 is 1952820.
The greatest common factor of 5038/684,5164/5710 = [GCF of 5038,5164]/[LCM of 684,5710]= 2/1952820
Therefore, the GCF of 5038/684,5164/5710 is 2/1952820.
To find the highest common factor of 5038,5164, we have to find the factors of both numbers and list the highest common factor.
The factors of 5038 are 1, 2, 11, 22, 229, 458, 2519, 5038
The factors of 5164 are 1, 2, 4, 1291, 2582, 5164
The HCF of 5038,5164 is 2.
Lets's calculate GCF of 5038,5164
| 2 | 5038, 5164 |
| 2519, 2582 |
∴ So the GCF of the given numbers is 2 = 2
Greatest Common Factor of 5038,5164 By Matching Biggest Common Factor Method
Now, list down the factors of 5038
:1,2,11,22,229,458,2519,5038
Now, list down the factors of 5164
:1,2,4,1291,2582,5164
Greatest Common Factor
We found the factors 5038,5164 . The biggest common factor number is the GCF number.
So the greatest common factor 5038,5164 is 2.
Lets's calculate LCM of 684,5710
| 2 | 684, 5710 |
| 342, 2855 |
∴ So the LCM of the given numbers is 2 x 342 x 2855 = 1952820
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/1952820
Therefore, the GCF of Fractions 5038/684,5164/5710 is 2/1952820
Least Common Multiple of 684,5710 with GCF Formula
The formula of LCM is LCM(a1,a2,a3....,an) = ( a1 × a2 × a3 × .... × an) / GCF(a1,a2,a3....,an) x common factors(if more than 2 numbers have common factors).
We need to calculate greatest common factor of 684,5710 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(684,5710) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(684,5710) x common factors =2 x 1 = 2
LCM(684,5710) = ( 684 × 5710 ) / 2
LCM(684,5710) = 3905640 / 2
LCM(684,5710) = 1952820
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FAQs on GCF of Fractions of 5038/684, 5164/5710
1. What is the HCF of 5038,5164?
The HCF of 5038,5164 is 2
2. What is the GCF of a fraction?
The GCF of a fraction is defined as the greatest fraction that divides exactly into 2 or more fractions.
3. How to find GCF in Fractions?
Answer: GCF of fractions can be found using the simple formula GCF of Fractions = GCF of Numerators/LCM of Denominators.
4. What is the GCF of Fractions for 5038/684, 5164/5710?
Answer: GCF of Numerators as per given numbers 5038/684, 5164/5710 is
GCF of Numerators i.e. for 5038,5164 is 2
LCM of denominators i.e. for 684,5710 is 1952820.
Thus, GCF of Fractions is 2/1952820.Finally, GCF of Fractions for 5038/684, 5164/5710 is 2/1952820.